Singular linear systems with delay: ℋ︁∞ stabilization

This paper deals with the class of continuous‐time singular linear systems with time‐delay in the state vector. The stabilization problem of this class of systems using a state feedback controller is tackled. New delay‐dependent sufficient conditions on ℋ︁∞ stabilization are developed. A design algo...

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Bibliographic Details
Published inOptimal control applications & methods Vol. 28; no. 4; pp. 259 - 274
Main Author Boukas, E. K.
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 01.07.2007
Subjects
continuous-time linear systems
Delay
Design engineering
disturbance rejection
Dynamical systems
Dynamics
H-infinity control
linear matrix inequality
Linear systems
singular systems
stability
stabilizability
Stabilization
State feedback
State vectors
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Summary:This paper deals with the class of continuous‐time singular linear systems with time‐delay in the state vector. The stabilization problem of this class of systems using a state feedback controller is tackled. New delay‐dependent sufficient conditions on ℋ︁∞ stabilization are developed. A design algorithm for a memoryless state feedback controller which guarantees that the closed‐loop dynamics will be regular, impulse‐free and stable with γ‐disturbance rejection is proposed. It is shown that the addressed problem can be solved if the corresponding developed linear matrix inequalities (LMIs) with some constraints are feasible. A numerical example is employed to show the usefulness of the proposed results. Copyright © 2007 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-590RX003-Z
istex:BEBD12DDB6ECA87DC7E1079122BC8FBE53AFD02B
ArticleID:OCA801
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SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
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ISSN:0143-2087
1099-1514
DOI:10.1002/oca.801